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Assertion: The magnitude of average velo...

Assertion: The magnitude of average velocity of the object over an interval of time is either smaller than or equal to the average speed of the object over the same interval.
Reason: Path length (distance) is either equal or greater than the magnitude of displacement.

A

If both assertion `&` Reason are True `&` the Reason is a corrrect explanation of the Asserion.

B

If both Assertion `&` Reason are True but Reason is not correct explanation of the Assertion.

C

If Assertion is Trie but the Reason is False.

D

If both Assertion `&` Reason are false

Text Solution

Verified by Experts

The correct Answer is:
A
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Under what condition (s) is the magnitude of average velocity of an object is equal to its average speed ?

The magnitude of average velocity is equal to the average speed when a particle moves:-

Explain clearly, with examples, the distinction between : (a) magnitude of displacement (sometimes called distance) over an interval of time, and the total length of path covered by a particle over the same interval, (b) magnitude of average velocity over an interval of time, and the average speed over the same interval. (Average speed of a particle over an interval of time is defined as the total path length divided by the time interval]. Show in both (a) and (b) that the second quantity is either greater than or equal to the first. When is the equality sign true ? (For simplicity, consider onedimensional motion only).

Read each statement below carefully and state with reasons , if it is true of false : (a) The magnitude of a vector is always a scalar , (b) each component of a vector is always a scalar , (c ) the total path length is always equal to the magnitude of the displacement vector of a particle . (d) the average speed of a either greater or equal to the magnitude of average velocity of the particle over the same interval of time , (e ) Three vectors not lying in a plane can never add up to give a null vector .

Assertion: The average velocity of a particle is zero in a time interval. It is possible that the instantaneous acceleration is never zero in the interval. Reason: The magnitude of average velocity in an interval is equal to its average speed in that interval.

"The magnitude of average velocity is equal to average speed". This statement is not always correct and not always incorrect. Explain with example,

Area of the region under graph of velocity-time for an object performing uniform motion on a linear path, suggests distance covered by the object during given time interval

Among the four graph shown in the figure there is only one graph for which average velocity over the time interval (O,T) can vanish for a suitably chosen T. Which one is it ?

ALLEN -MOTION IN A PALNE-EXERCISE-3
  1. Assertion : A body can have acceleration even if its velocity is zero ...

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  2. Assertion: Displacement of a body may be zero when distance travelled ...

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  3. Assertion: The magnitude of average velocity of the object over an int...

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  4. Assertion: An object can have constant speed but variable velocity. ...

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  5. Statement-I : The speed of a body can be negative. Statement-II : If...

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  6. Statement-I : A positive acceleration can be associated with a 'slowin...

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  7. Assertion: A negative acceleration of a body can be associated with a ...

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  8. When a body is subjected to a uniform acceleration, it always moves in...

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  9. The ratios of the distances traversed, in successive intervals of time...

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  10. Assertion: When a particle moves with constant velocity its average ve...

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  11. Assertion: The average velocity of a particle is zero in a time interv...

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  12. Assertion : An object may have varying speed without having varying ve...

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  13. Assertion: Average speed of a particle in a given time interval is nev...

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  14. Assertion: In successive time intervals if the average velocities of a...

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  15. Statement-I : In a free fall, the initial velocity of a body may or ma...

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  16. Assertion: If a body is dropped from the top of a twoer of height h an...

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  17. Assertion: An observer is moving due east and wind appears him to blow...

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  18. Assertion: The distance and displacment both are equal when the partic...

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  19. Statement-I : Graph (1) represent one dimensional motion of a particle...

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  20. Assertion: In general |Displacement| le distance. Reason: The instan...

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